(a) Complete the Venn diagram below to show this information. [2]
(b) One person is chosen at random. Find the probability that this person swims in the sea and goes to the funfair. [1]
(c) One person is chosen at random from those who swim in the sea. Find the probability that this person does not go to the funfair. [2]
Mark scheme (a)
Scheme
Marks
Comments
B2
B1 for 12 in intersection on Venn diagram or for any 2 correct entries
Mark scheme (b)
Scheme
Marks
Comments
\(\dfrac{12}{20}\) or equivalent
B1
ISW FT ‘their 12’ provided ‘their 12’ < 20
Mark scheme (c)
Scheme
Marks
Comments
\(\dfrac{1}{13}\)
B2
FT ‘their 1’ and ‘their 13’ provided ‘their 1’ < ‘their 13’ B1 for denominator of 13 or ‘their 13’ or numerator of 1 or ‘their 1’ provided the denominator < 20
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